Impermanent Loss

What is Impermanent Loss?

Impermanent Loss is the value gap that can happen when you provide two tokens to a pool and their prices move apart. Your share ends up worth less than simply holding the tokens, until prices realign. Think of it like being the friend who brings snacks to the party, then realizing everyone grabbed more of the good chips than the celery.

How it works

Impermanent Loss shows up when prices change while your position auto rebalances. Here is the quick flow.

1. Deposit: You add equal value of two tokens to a liquidity pool, say ETH and USDC.
2. Pricing: The pool uses an automated market maker (AMM) formula that keeps a balance between the two tokens.
3. Arbitrage: If ETH price moves on external markets, traders swap against the pool until the pool price catches up. You end up with more of the loser and less of the winner.
4. Divergence: The farther the price ratio moves from your entry, the bigger the underperformance versus simple holding.
5. Exit: If prices return to your entry ratio, the loss fades. Withdraw at a different ratio and it locks in. Trading fees can soften the hit.

That is the playbook, no secret handshakes required.

Why it matters

So why should you care? Because this is the hidden cost of being the market.

• Benefit: You earn swap fees and incentives for providing depth on a decentralized exchange (DEX).
• Perspective: Yields posted on crypto Twitter often forget to subtract Impermanent Loss. Smart money does the math.
• Relevance: You will see it in DeFi portfolios, DAO treasuries, and any wallet farming rewards.

Key characteristics

What makes this risk stand out:

• Volatility: Bigger price moves mean bigger underperformance versus holding.
• Timing: It is measured relative to your entry ratio, so when you enter and exit matters.
• Fees: Swap fees and rewards can outweigh the loss, or not, depending on volume and incentives.
• Direction: Up moves and down moves create a similar effect; distance from entry is what bites.
• Concentration: Narrow ranges can juice fees but also amplify loss when price leaves your band.

How is it calculated?

For a two token, even weight pool, let r be new price divided by entry price. The percentage loss versus holding is:

IL% = 100 × ( (2 × sqrt(r)) ÷ (1 + r) − 1 )

Example: if price doubles, r = 2, the result is about 5.72 percent. Fees can offset part of that.

Variations

Same idea, different flavors:

• Stable: Tokens like USDC and DAI tend to drift less, so loss stays small.
• Correlated: Assets that usually move together reduce the drag, but it still exists.
• Concentrated: Custom ranges can boost fees near current price and raise loss when price slips away.

Example

You deposit ETH and USDC when ETH is 1,500; ETH jumps to 3,000, the pool auto sells some ETH for USDC, and when you withdraw your total is less than if you had just kept the original ETH and USDC outside the pool.

Fun Fact

Early DeFi folks called it “divergence loss,” which sounded a bit too scary, so “Impermanent” caught on since the gap can shrink if prices wander back. Marketing matters, even for math.

Wrap-Up

Think of Impermanent Loss as the quiet fee you pay for being the market, and make sure the rewards you are chasing clear that bar.